Question #3*: Let the matrices A₁, A, and A3 be such that:2A₁ =2 −13-29A₂=92 359A3A3=a) Find the eigenvalues and the eigenvectors of A₁, A₂ and A3.20 6-1 -5b) Diagonalize the matrices A₁, A₂and A.kc) Compute A₁ A₂, A₂, e¹2d) Let v=[35]", compute 4,2000,et, et andet.

Given Matrix is A1=2-13-2 Solution a) A1-λI=0⇒2-λ-13-2-λ=0⇒2-λ-2-λ+3=0⇒λ2-1=0⇒λ=±1 λ=±1 are the…

Question #3*: Let the matrices A₁, A₂ and A3 be such that: 2 3 4-4-4-4-[9] A₂ = -1 5 A₁ 2 -1 3 -2 A3 = 0 6 -5 a) Find the eigenvalues and the eigenvectors of A₁, A₂ and A. b) Diagonalize the matrices A₁, A₂and A. c) Compute A₁, A₂, A₂k, e¹¹, ¹2 and ¹3. k k ,е d) Let v= [35], compute 4,2000,